Spring 2002 CSCI 255 Practice Homework 1

This homework is not graded. It is practice for the 11 February quiz.

Problem 1

Convert the following numbers from decimal into ten-bit twos-complement notation.

• 431
• -500
• 1
• -17

Problem 2

Convert the following ten-bit twos-complement numbers into decimal numbers.

• 1011001110
• 0110101110
• 1000000010
• 0111111110

Problem 3

What are the largest and smallest numbers that can be expressed as a ten-bit twos-complement number?

Problem 4

Express the following decimal numbers in base 6:

• 255
• 36

Problem 5

Add the following six-bit twos-complement number. Which, if any, of the additions result in an overflow?

• 101000 + 111011
• 011111 + 000111